Download Mathematics Workshop for Parents

Mathematics Workshop for Parents
Lower Primary
Objectives
• Understanding mathematical concepts using the C-P-A
approach.
• Using models to solve word problems.
• Using thinking skills to solve higher order questions.
• E-learning using Koobits
Overview
• K-C-A type of questions
• C-P-A approach to teaching & learning
• Model Drawing (P2)
• Heuristics
• Koobits
K-C-A type of questions
• Knowledge (Memorization)
 Recall specific mathematical facts, concepts, rules and
formulae, and to perform straightforward
computations
• Comprehension (Understanding)
 Interpret data and use mathematical concepts, rules
or formulae in familiar situations
• Application (Using)
 Analyse data and/or to apply mathematical concepts,
rules or formulae in unfamiliar situations
Examples of K-C-A questions
• Knowledge
85 + 16 =
• Comprehension
16 more than 85 is
• Application
+ 16 = 85
C-P-A approach to teaching & learning
• Concrete
• Pictorial
• Abstract
C-P-A approach to teaching & learning
Online Manipluatives
• http://www.matholia.com.sg/
• http://nlvm.usu.edu/en/nav/vlibrary.ht
ml
Model Drawing
• Helps develop your child’s
understanding of Mathematical
concepts
• Helps develop your child’s proficiency
in solving Mathematical word
problems
Model Drawing
• There are 2 types of models:
1. part-whole model
2. comparison model
Model Drawing
Important points to take note:
• Estimate the length of each part according to the
data given
• Label the models with the correct names and
numbers given
• Use ‘?’ for unknown data
• Use braces or arrows
• Use dotted lines to indicate the difference
(more/less)
Model Drawing: Part-Whole Model
• Number bonds
whole
25
part
10
15
10 + 15 = 25
25 – 10 = 15
25 – 15 = 10
part
Model Drawing: Part-Whole Model
• 10 + 15 = 25
10
15
?
Model Drawing: Part-Whole Model
• Mr Lim washed 65 dishes in two days.
He washed 23 dishes on the first day.
How many dishes did he wash on the second
day?
23
?
65
Model Drawing: Part-Whole Model
• Mr Lim washed 65 dishes in two days.
He washed 23 dishes on the first day.
How many dishes did he wash on the second
day?
23
?
65
65 – 23 = 42
He washed 42
dishes on the
second day.
Model Drawing: Comparison Model
• Aunt Alice fried 166 fish balls for a party.
She fried 77 more fish balls than prawn balls for
the party.
How many prawn balls did Aunt Alice fry?
166
F
P
77
?
Model Drawing: Comparison Model
• Aunt Alice fried 166 fish balls for a party.
She fried 77 more fish balls than prawn balls for
the party.
How many prawn balls did Aunt Alice fry?
166
166 – 77 = 89
F
P
77
?
Aunt Alice fried 89
prawn balls.
Model Drawing: Hands-on
• Jane has 325 beads.
Susan has 263 beads.
How many more beads does Jane have
than Susan?
Model Drawing: Hands-on
• Jane has 325 beads.
Susan has 263 beads.
How many more beads does Jane have
than Susan?
263
S
?
J
325
Model Drawing: Hands-on
• Jane has 325 beads.
Susan has 263 beads.
How many more beads does Jane have
than Susan?
263
S
?
325 – 263 = 62
Jane has 62 more
beads than Susan.
J
325
Heuristics: Draw a diagram
• Siti is older than Jolene but younger than Larry.
Larry is younger than Ben.
Who is the youngest?
Ben
Larry
Siti
Jolene
Jolene is the
youngest.
Heuristics: Draw a diagram (Hands-on)
• Sarah reads more books than Jill but fewer
books than Matthew.
Matthew reads fewer books than Kelly.
Who reads the most number of books?
Kelly
Matthew
Sarah
Jill
Kelly reads the
most number of
books.
Heuristics: Guess & Check (P2)
• Bobby is 7 years younger than his sister.
Their total age is 25 years.
How old is Bobby’s sister?
Sister
Bobby (- 7)
Total (25)
Check
Heuristics: Guess & Check (P2)
• Bobby is 7 years younger than his sister.
Their total age is 25 years.
How old is Bobby’s sister?
Sister
Bobby (- 7)
Total (25)
Check
12
12 – 7 = 5
12+ 5 = 17
Χ
Heuristics: Guess & Check (P2)
• Bobby is 7 years younger than his sister.
Their total age is 25 years.
How old is Bobby’s sister?
Sister
Bobby (- 7)
Total (25)
Check
12
14
12 – 7 = 5
14 – 7 = 7
12+ 5 = 17
14 + 7 = 21
Χ
Χ
Heuristics: Guess & Check (P2)
• Bobby is 7 years younger than his sister.
Their total age is 25 years.
How old is Bobby’s sister?
Sister
Bobby (- 7)
Total (25)
Check
12
14
16
12 – 7 = 5
14 – 7 = 7
16 – 7 = 9
12+ 5 = 17
14 + 7 = 21
16 + 9 = 25
Χ
Χ
√
Bobby’s sister is 16 years old.
Heuristics: Guess & Check (P2)
• Bobby is 7 years younger than his sister.
Their total age is 25 years.
How old is Bobby’s sister?
Bobby
Sister (+ 7)
Total (25)
Check
Heuristics: Guess & Check (P2)
• Bobby is 7 years younger than his sister.
Their total age is 25 years.
How old is Bobby’s sister?
Bobby
Sister (+ 7)
Total (25)
Check
12
12 + 7 = 19
12 + 19 = 31
Χ
Heuristics: Guess & Check (P2)
• Bobby is 7 years younger than his sister.
Their total age is 25 years.
How old is Bobby’s sister?
Bobby
Sister (+ 7)
Total (25)
Check
12
10
12 + 7 = 19
10 + 7 = 17
12 + 19 = 31
10 + 17 = 27
Χ
Χ
Heuristics: Guess & Check (P2)
• Bobby is 7 years younger than his sister.
Their total age is 25 years old.
How old is Bobby’s sister?
Bobby
Sister (+ 7)
Total (25)
Check
12
10
12 + 7 = 19
10 + 7 = 17
12 + 19 = 31
10 + 17 = 27
Χ
Χ
8
8 + 7 = 15
8 + 15 = 23
Χ
Heuristics: Guess & Check (P2)
• Bobby is 7 years younger than his sister.
Their total age is 25 years.
How old is Bobby’s sister?
Bobby
Sister (+ 7)
Total (25)
Check
12
10
12 + 7 = 19
10 + 7 = 17
12 + 19 = 31
10 + 17 = 27
Χ
Χ
8
9
8 + 7 = 15
9 + 7 = 16
8 + 15 = 23
9 + 16 = 25
Χ
√
Bobby’s sister is 16 years old.
Using a comparison model
• Bobby is 7 years younger than his sister.
Their total age is 25 years.
How old is Bobby’s sister?
B
7
25
S
?
Using a comparison model
• Bobby is 7 years younger than his sister.
Their total age is 25 years.
How old is Bobby’s sister?
B
7
25
S
?
25 – 7 = 18
18 ÷ 2 = 9
9 + 7 = 16
Bobby’s sister is 16
years old.
Heuristics: Guess & Check (Hands-on)
• There are 34 red and blue pens in a box.
There are 12 more red pens than blue pens.
How many red pens are there in the box?
Heuristics: Guess & Check (Hands-on)
• There are 34 red and blue pens in a box.
There are 12 more red pens than blue pens.
How many red pens are there in the box?
blue
red (+ 12)
Total (34)
Check
Heuristics: Guess & Check (Hands-on)
• There are 34 red and blue pens in a box.
There are 12 more red pens than blue pens.
How many red pens are there in the box?
blue
red (+ 12)
Total (34)
Check
15
12
15 + 12 = 27
12 + 12 = 24
15 + 27 = 42
12 + 24 = 36
Χ
Χ
11
11 + 12 = 23
11 + 23 = 34
√
There are 23 red pens in the box.
Koobits